Atkin-Lehner |
2- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100c |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-27899620000000 = -1 · 28 · 57 · 75 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -6 6 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26908,-1726812] |
[a1,a2,a3,a4,a6] |
j |
-538671647824/6974905 |
j-invariant |
L |
1.1174148475722 |
L(r)(E,1)/r! |
Ω |
0.18623580801105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620d1 |
Quadratic twists by: 5 |